PSLE
Albert and Riordan were paid a total of $3960 for a job they did. Albert was paid $1420 more than Riordan.

1. How much was Riordan paid for the job?
2. Albert and Riordan were paid based on the number of days they worked. Albert worked 2 times as many days as Riordan. Riordan was paid $5 less than Albert per day. How many days did Albert work? 

(a)
Amount that Riordan was paid = 1 u
Amount that Albert was paid = 1 u + 1420

Total amount paid
= 1 u + 1 u + 1420
= 2 u + 1420

2 u + 1420 = 3960
2 u = 3960 - 1420
2 u = 2540

1 u = 2540 ÷ 2 = 1270

Amount that Riordan was paid
= 1 u
= $1270

(b)
Amount that Albert was paid
= 1 u + 1420
= 1270 + 1420
= $2690

Albert worked 2 times as many days as Riordan.

2 sets of Albert's salary = $2690

1 set of Albert's salary
= 2690 ÷ 2
= $1345

1 set of Riordan's salary = $1270

Difference between each set of Albert's and Riordan's salaries
= 1345 - 1270
= $75

Number of days in 1 set
= 75 ÷ 5
= 15

Number of days that Albert worked
= 2 x 15
= 30

Answer(s): (a) $1270; (b) 30